92 citations · 342 across the 35 of their papers we have counts for
38 papers
A Physics-Driven Multiscale Method for High-Frequency Helmholtz Equations
Huangxin Chen, Jianhui Chen, Shubin Fu +1
We develop and analyze a physics-driven multiscale method for model reduction of the Helmholtz equation at high frequency. The method constructs a reduced approximation space from…
A Fully Matrix-Free Three-Grid Preconditioner for the Time-Harmonic Maxwell Equations at Extreme Scale
Shubin Fu
Three-dimensional time-harmonic Maxwell simulations generate massive complex indefinite systems whose mesh coarsening is strictly limited by phase accuracy. Although matrix-free fi…
An algebraic multiscale preconditioner for large sparse SPD matrices
Yingjie Zhou, Shubin Fu, Eric Tsz Shun Chung
We present a two-grid algebraic multiscale preconditioner for large sparse symmetric positive definite systems arising from elliptic problems with highly heterogeneous coefficients…
Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media
Peiqi Li, Jie Chen, Shubin Fu
In this paper, we study the efficient numerical solution of Darcy equations in strongly heterogeneous media with high-contrast permeability and propose a hybrid framework that comb…
MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation
Shubin Fu, Qing Huo Liu, Qiwei Zhan +2
In this article, we present a new preconditioner, MatExPre, for the high-frequency Helmholtz equation by leveraging the properties of matrix exponentials. Our approach begins by re…
A robust solver for large-scale heat transfer topology optimization
Yingjie Zhou, Changqing Ye, Yucheng Liu +2
This paper presents a large-scale parallel solver, specifically designed to tackle the challenges of solving high-dimensional and high-contrast linear systems in heat transfer topo…
Learning a generalized multiscale prolongation operator
Yucheng Liu, Shubin Fu, Yingjie Zhou +2
In this research, we address Darcy flow problems with random permeability using iterative solvers, enhanced by a two-grid preconditioner based on a generalized multiscale prolongat…
A fast cosine transformation accelerated method for predicting effective thermal conductivity
Changqing Ye, Shubin Fu, Eric T. Chung
Predicting effective thermal conductivity by solving a Partial Differential Equation (PDE) defined on a high-resolution Representative Volume Element (RVE) is a computationally int…
A robust two-level overlapping preconditioner for Darcy flow in high-contrast media
Changqing Ye, Shubin Fu, Eric T. Chung +1
In this article, a two-level overlapping domain decomposition preconditioner is developed for solving linear algebraic systems obtained from simulating Darcy flow in high-contrast…
An efficient multiscale multigrid preconditioner for Darcy flow in high-contrast media
Changqing Ye, Shubin Fu, Eric T. Chung +1
In this paper, we develop a multigrid preconditioner to solve Darcy flow in highly heterogeneous porous media. The key component of the preconditioner is to construct a sequence of…
Convergence of the CEM-GMsFEM for compressible flow in highly heterogeneous media
Leonardo A. Poveda, Shubin Fu, Eric T. Chung +1
This paper presents and analyses a Constraint Energy Minimization Generalized Multiscale Finite Element Method (CEM-GMsFEM) for solving single-phase non-linear compressible flows i…
Uncertainty Quantification of Nonlinear Lagrangian Data Assimilation Using Linear Stochastic Forecast Models
Nan Chen, Shubin Fu
Lagrangian data assimilation exploits the trajectories of moving tracers as observations to recover the underlying flow field. One major challenge in Lagrangian data assimilation i…
A discontinuous Galerkin based multiscale method for heterogeneous elastic wave equations
Zhongqian Wang, Shubin Fu, Zishang Li +1
In this paper, we develop a local multiscale model reduction strategy for the elastic wave equation in strongly heterogeneous media, which is achieved by solving the problem in a c…
Local multiscale model reduction using discontinuous Galerkin coupling for elasticity problems
Zhongqian Wang, Shubin Fu, Eric Chung
In this paper, we consider the constrained energy minimizing generalized multiscale finite element method (CEM-GMsFEM) with discontinuous Galerkin (DG) coupling for the linear elas…
A conservative multiscale method for stochastic highly heterogeneous flow
Yiran Wang, Eric Chung, Shubin Fu
In this paper, we propose a local model reduction approach for subsurface flow problems in stochastic and highly heterogeneous media. To guarantee the mass conservation, we conside…
Generalized multiscale finite element method for highly heterogeneous compressible flow
Shubin Fu, Eric Chung, Lina Zhao
In this paper, we study the generalized multiscale finite element method (GMsFEM) for single phase compressible flow in highly heterogeneous porous media. We follow the major steps…
A deep learning based reduced order modeling for stochastic underground flow problems
Yiran Wang, Eric Chung, Shubin Fu
In this paper, we propose a deep learning based reduced order modeling method for stochastic underground flow problems in highly heterogeneous media. We aim to utilize supervised l…
An Efficient and Statistically Accurate Lagrangian Data Assimilation Algorithm with Applications to Discrete Element Sea Ice Models
Nan Chen, Shubin Fu, Georgy E Manucharyan
Lagrangian data assimilation of complex nonlinear turbulent flows is an important but computationally challenging topic. In this article, an efficient data-driven statistically acc…
Learning Rays via Deep Neural Network in a Ray-based IPDG Method for High-Frequency Helmholtz Equations in Inhomogeneous Media
Tak Shing Au Yeung, Ka Chun Cheung, Eric T. Chung +2
We develop a deep learning approach to extract ray directions at discrete locations by analyzing highly oscillatory wave fields. A deep neural network is trained on a set of local…
A local-global generalized multiscale finite element method for highly heterogeneous stochastic groundwater flow problems
Yiran Wang, Eric Chung, Shubin Fu
In this paper, we propose a local-global multiscale method for highly heterogeneous stochastic groundwater flow problems under the framework of reduced basis method and the general…
A comparison of mixed multiscale finite element methods for multiphase transport in highly heterogeneous media
Yiran Wang, Eric Chung, Shubin Fu
In this paper, we systemically review and compare two mixed multiscale finite element methods (MMsFEM) for multiphase transport in highly heterogeneous media. In particular, we wil…
Adaptive multiscale model reduction for nonlinear parabolic equations using GMsFEM
Yiran Wang, Eric Chung, Shubin Fu
In this paper, we propose a coupled Discrete Empirical Interpolation Method (DEIM) and Generalized Multiscale Finite element method (GMsFEM) to solve nonlinear parabolic equations…
Online conservative generalized multiscale finite element method for flow models
Yiran Wang, Eric Chung, Shubin Fu +1
In this paper, we consider an online enrichment procedure using the Generalized Multiscale Finite Element Method (GMsFEM) in the context of a two-phase flow model in heterogeneous…
Mixed GMsFEM for linear poroelasticity problems in heterogeneous porous media
Xia Wang, Eric Chung, Shubin Fu +1
Accurate numerical simulations of interaction between fluid and solid play an important role in applications. The task is challenging in practical scenarios as the media are usuall…